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Finding the Fourth Proportional to 119,798.67, 179,678.94 and 39,830

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Solution

The fourth proportional to 119,798.67, 179,678.94 and 39,830 is: 59,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,798.67 : 179,678.94 = 39,830 : x
  2. Step 2: Convert to fraction form
    119,798.67/179,678.94 = 39,830/x
  3. Step 3: Cross multiply
    119,798.67x = 179,678.94 × 39,830
  4. Step 4: Simplify right side
    119,798.67x = 7,156,612,180.20
  5. Step 5: Solve for x
    x = 7,156,612,180.20/119,798.67
  6. Step 6: Final answer
    x = 59,738.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.